55560034622400 has 1008 divisors, whose sum is σ = 231700820376960. Its totient is φ = 11525959065600.

The previous prime is 55560034622399. The next prime is 55560034622437. The reversal of 55560034622400 is 422643006555.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1601459454 + ... + 1601494146.

Almost surely, 2^{55560034622400} is an apocalyptic number.

55560034622400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 55560034622400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115850410188480).

55560034622400 is an abundant number, since it is smaller than the sum of its proper divisors (176140785754560).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

55560034622400 is a wasteful number, since it uses less digits than its factorization.

55560034622400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35362 (or 35340 counting only the distinct ones).

The product of its (nonzero) digits is 864000, while the sum is 42.

Adding to 55560034622400 its reverse (422643006555), we get a palindrome (55982677628955).

The spelling of 55560034622400 in words is "fifty-five trillion, five hundred sixty billion, thirty-four million, six hundred twenty-two thousand, four hundred".